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Simplifying (3 + v) + (2v2) = 0 Remove parenthesis around (3 + v) 3 + v + (2v2) = 0 Solving 3 + v + (2v2) = 0 Solving for variable 'v'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 1.5 + 0.5v + v2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + 0.5v + -1.5 + v2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + 0.5v + v2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.5v + v2 = 0 + -1.5 0.5v + v2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 0.5v + v2 = -1.5 The v term is v. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.5v + 0.25 + v2 = -1.5 + 0.25 Reorder the terms: 0.25 + 0.5v + v2 = -1.5 + 0.25 Combine like terms: -1.5 + 0.25 = -1.25 0.25 + 0.5v + v2 = -1.25 Factor a perfect square on the left side: ((v) + 0.5)((v) + 0.5) = -1.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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